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85328340 = 22354333073
BaseRepresentation
bin1010001011000…
…00000111010100
312221120010110220
411011200013110
5133321001330
612244514340
72054164446
oct505400724
9187503426
1085328340
1144190499
12246ab9b0
13148a7756
14b492496
157757710
hex51601d4

85328340 has 48 divisors (see below), whose sum is σ = 244483008. Its totient is φ = 22224384.

The previous prime is 85328329. The next prime is 85328351. The reversal of 85328340 is 4382358.

85328340 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (85328329) and next prime (85328351).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

85328340 is strictly pandigital in base 9.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13957 + ... + 19116.

It is an arithmetic number, because the mean of its divisors is an integer number (5093396).

Almost surely, 285328340 is an apocalyptic number.

It is an amenable number.

85328340 is an abundant number, since it is smaller than the sum of its proper divisors (159154668).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85328340 is a wasteful number, since it uses less digits than its factorization.

85328340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33128 (or 33126 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 85328340 is about 9237.3340309853. The cubic root of 85328340 is about 440.2483790479.

The spelling of 85328340 in words is "eighty-five million, three hundred twenty-eight thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 172 215 258 430 516 645 860 1290 2580 33073 66146 99219 132292 165365 198438 330730 396876 496095 661460 992190 1422139 1984380 2844278 4266417 5688556 7110695 8532834 14221390 17065668 21332085 28442780 42664170 85328340